6afdo: Difference between revisions

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Scales: Change to enumerate chord format to make it easier to copy into Scale Workshop, and more compact
 
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{{Infobox ADO|steps=6}}
{{Infobox AFDO|steps=6}}
[[File:6ado scale.wav|thumb]]
[[File:6ado scale.wav|thumb]]


'''6ado''' ([[ADO|arithmetic division of the octave]]), or '''6odo''' ([[otonal division]] of the octave), divides the octave into six parts of 1/6 each. As a scale it may be known as [[Harmonic mode|mode 6 of the harmonic series]] or the [[Overtone_scale#Over-n_scales|Over-6]] scale. It is an effective scale that contains several useful intervals such as [[7/6]], [[4/3]] and [[3/2]] although it lacks a major third.
'''6afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''6odo''' ([[otonal division]] of the octave), divides the octave into six parts of 1/6 each. It is a superset of [[5afdo]] and a subset of [[7afdo]]. As a scale it may be known as [[Harmonic mode|mode 6 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-6]] scale. ([[Budjarn Lambeth]] calls it the ''Freeway scale''.{{idiosyncratic}}) In its root position, 6afdo is an effective system that contains several useful intervals such as [[7/6]], [[4/3]] and [[3/2]], although it lacks a major third.


== Intervals ==
== Intervals ==
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| [[5/3]]
| [[5/3]]
| 1.6667
| 1.6667
| just minor sixth
| just major sixth
| [[File:Jid_5_3_pluck_adu_dr220.mp3]]
| [[File:Jid_5_3_pluck_adu_dr220.mp3]]
|-
|-
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|}
|}


[[Category:ADO]]
== Scales ==
6:7:8:9:11:12 Geode{{idiosyncratic}}

Latest revision as of 02:18, 14 April 2026

← 5afdo 6afdo 7afdo →
Prime factorization 2 × 3
Fifth 9/6 (701.955c)

6afdo (arithmetic frequency division of the octave), or 6odo (otonal division of the octave), divides the octave into six parts of 1/6 each. It is a superset of 5afdo and a subset of 7afdo. As a scale it may be known as mode 6 of the harmonic series or the Over-6 scale. (Budjarn Lambeth calls it the Freeway scale.[idiosyncratic term]) In its root position, 6afdo is an effective system that contains several useful intervals such as 7/6, 4/3 and 3/2, although it lacks a major third.

Intervals

# Cents Ratio Decimal Interval name Audio
0 0 1/1 1.000 perfect unison
1 266.9 7/6 1.1667 subminor third
2 498.0 4/3 1.3333 just perfect fourth
3 702.0 3/2 1.5000 just perfect fifth
4 884.5 5/3 1.6667 just major sixth
5 1049.4 11/6 1.8333 undecimal neutral seventh
6 1200.0 2/1 2.0000 perfect octave

Scales

6:7:8:9:11:12 Geode[idiosyncratic term]